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14022031320 = 23325113540917
BaseRepresentation
bin11010000111100011…
…10011011111011000
31100012012220222212100
431003301303133120
5212204120000240
610235220443400
71004323204533
oct150361633730
940165828770
1014022031320
115a46086740
122873b49560
131426053a6b
149703ada1a
15571035e30
hex343c737d8

14022031320 has 96 divisors (see below), whose sum is σ = 49714488720. Its totient is φ = 3399279360.

The previous prime is 14022031313. The next prime is 14022031343. The reversal of 14022031320 is 2313022041.

14022031320 is a `hidden beast` number, since 140 + 2 + 203 + 1 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 14022031293 and 14022031302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1766499 + ... + 1774418.

Almost surely, 214022031320 is an apocalyptic number.

14022031320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14022031320 is an abundant number, since it is smaller than the sum of its proper divisors (35692457400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14022031320 is a wasteful number, since it uses less digits than its factorization.

14022031320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3540945 (or 3540938 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 14022031320 its reverse (2313022041), we get a palindrome (16335053361).

The spelling of 14022031320 in words is "fourteen billion, twenty-two million, thirty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 132 165 180 198 220 264 330 360 396 440 495 660 792 990 1320 1980 3960 3540917 7081834 10622751 14163668 17704585 21245502 28327336 31868253 35409170 38950087 42491004 53113755 63736506 70818340 77900174 84982008 106227510 116850261 127473012 141636680 155800348 159341265 194750435 212455020 233700522 254946024 311600696 318682530 350550783 389500870 424910040 467401044 584251305 637365060 701101566 779001740 934802088 1168502610 1274730120 1402203132 1558003480 1752753915 2337005220 2804406264 3505507830 4674010440 7011015660 14022031320